Blender build for Raspberry Pi3?
The biggest hurdle to getting Blender running on the Raspberry Pi is the fact that the Pi has an ARM processor rather than one that uses the x86 instruction set, which means software has to be specifically compiled for it. Currently the Blender Foundation does not provide these builds at the moment, but there are a number of builds floating around produced by 3rd parties that should work fine. Many of them mention use on the Pi since it is probably the most common normal linux ARM platform, the fact it runs full linux makes this much easier. 

As you are relying on third party builds, many will be a bit out of date compared to the latest builds (certainly buildbot, and they may take a bit to catch up). That said on arch at least its up to date: https://archlinuxarm.org/packages?search=blender. However in the debian jesse repo, it is a fair bit out of date (https://packages.debian.org/jessie/blender). As fair as I'm aware the default Pi os (Raspbian) is based on jessie, so the blender you get there will be somewhat out of date. See @Zoots answer for more recent builds.

As Nathan Osman mentions in the comments, you should be able to install blender with: sudo apt-get install blender

For 2.8 and later, openGL 3.3 is required, making builds impossible. see https://blender.stackexchange.com/a/145057/26345